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Erscheinungsjahr: 
2020
Schriftenreihe/Nr.: 
Center for Mathematical Economics Working Papers No. 720
Verlag: 
Bielefeld University, Center for Mathematical Economics (IMW), Bielefeld
Zusammenfassung: 
In this paper, we investigate two different constructions of robust Orlicz spaces as a generalisation of robust Lp-spaces. We show that a construction as norm closures of bounded continuous functions typically leads to spaces which are lattice-isomorphic to sublattices of a classical L1-space, thus leading to dominated classes of contingent claims even for nondominated classes of probability measures. We further show that the mathematically very desirable property of σ -Dedekind completeness for norm closures of continuous functions ususally aready implies that the considered class of probability measures is dominated. Our second construction, which is top-down, is based on the consideration of the maximal domain of a worst-case Luxemburg norm. From an applied persepective, this approach can be justified by a uniform-boundedness-type result showing that, in typical situations, the worst-case Orlicz space agrees with the intersection of the corresponding individual Orlicz spaces.
Schlagwörter: 
Orlicz space
model uncertainty
nonlinear expectation
Dedekind completeness
Banach lattice
Choquet capacity
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